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Finding the Fourth Proportional to 470,516.32, 705,773.07 and 133,557.25

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Solution

The fourth proportional to 470,516.32, 705,773.07 and 133,557.25 is: 200,335.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,516.32 : 705,773.07 = 133,557.25 : x
  2. Step 2: Convert to fraction form
    470,516.32/705,773.07 = 133,557.25/x
  3. Step 3: Cross multiply
    470,516.32x = 705,773.07 × 133,557.25
  4. Step 4: Simplify right side
    470,516.32x = 94,261,109,912.15
  5. Step 5: Solve for x
    x = 94,261,109,912.15/470,516.32
  6. Step 6: Final answer
    x = 200,335.48

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.